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2485344456 = 2332716330253
BaseRepresentation
bin1001010000100011…
…0101100011001000
320102012121120122200
42110020311203020
520042222010311
61050341320200
7115406036130
oct22410654310
96365546580
102485344456
111065a04091
12594406060
13307b9a82a
14198117ac0
15e82d3556
hex942358c8

2485344456 has 96 divisors (see below), whose sum is σ = 7740183360. Its totient is φ = 705718656.

The previous prime is 2485344413. The next prime is 2485344473. The reversal of 2485344456 is 6544435842.

2485344456 is a `hidden beast` number, since 24 + 8 + 534 + 44 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67026 + ... + 97278.

It is an arithmetic number, because the mean of its divisors is an integer number (80626910).

Almost surely, 22485344456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2485344456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870091680).

2485344456 is an abundant number, since it is smaller than the sum of its proper divisors (5254838904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2485344456 is a wasteful number, since it uses less digits than its factorization.

2485344456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30435 (or 30428 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The square root of 2485344456 is about 49853.2291431558. The cubic root of 2485344456 is about 1354.5515245337.

The spelling of 2485344456 in words is "two billion, four hundred eighty-five million, three hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 978 1141 1304 1467 1956 2282 2934 3423 3912 4564 5868 6846 9128 10269 11736 13692 20538 27384 30253 41076 60506 82152 90759 121012 181518 211771 242024 272277 363036 423542 544554 635313 726072 847084 1089108 1270626 1694168 1905939 2178216 2541252 3811878 4931239 5082504 7623756 9862478 14793717 15247512 19724956 29587434 34518673 39449912 44381151 59174868 69037346 88762302 103556019 118349736 138074692 177524604 207112038 276149384 310668057 355049208 414224076 621336114 828448152 1242672228 2485344456